TS EAMCET · Physics · Center of Mass Momentum and Collision
A rocket motor consumes \(100 \mathrm{~kg}\) of fuel per second exhausting it with a speed of \(5 \mathrm{~km} / \mathrm{s}\). The speed of the rocket when its mass is reduced to \(\frac{1^{\text {th }}}{20}\) of its initial mass, is (Assume initial speed to be zero and ignored gravitational and viscous forces.)
- A \(20 \mathrm{~km} / \mathrm{s}\)
- B \(40 \ln (2) \mathrm{km} / \mathrm{s}\)
- C \(5 \ln (20) \mathrm{km} / \mathrm{s}\)
- D \(10 \mathrm{ln}(10) \mathrm{km} / \mathrm{s}\)
Answer & Solution
Correct Answer
(C) \(5 \ln (20) \mathrm{km} / \mathrm{s}\)
Step-by-step Solution
Detailed explanation
Key Idea Velocity of a rocket at any timet, \(v=u\left(\frac{m_0}{m}\right)-g t\) where, \(u=\) speed of exhausted gases, \(m_0=\) initial mass of the rocket and \(m=\) mass of the rocket at time \(t\) Given, fuel burned rate,…
See the Complete Solution
Get step-by-step explanations for this and 2.5 Lakh+ more JEE, NEET & CET questions.
- Unlock all solutions
- Practice the full chapter
- Track accuracy across PYQs
4.8 rated on Google Play · 14,000+ reviews
More questions from Physics
- Normally a capacitor is connected across the output terminals of a rectifier toTS EAMCET 2024 Easy
- The displacement of a particle moving in a straight line is given by the expression \(x=A t^3+B t^2+C t+D\) in metres, where \(t\) is in seconds and \(A, B, C\) and \(D\) are constants. The ratio between the initial acceleration and initial velocity isTS EAMCET 2015 Easy
- A circular disc of radius \(R\) is removed from a bigger circular disc of radius \(2 R\) such that the circumferences of the discs touch. The centre of mass of the new disc is at a distance \(\alpha R\) from the centre of the bigger disc. The value of \(\alpha\) isTS EAMCET 2011 Hard
- Three rods \(A B, B C\) and \(B D\) made of the same material and having the same cross-section have been joined as shown in the figure.
The ends \(A, C\) and \(D\) are held at temperatures of \(20^{\circ} \mathrm{C}, 80^{\circ} \mathrm{C}\) and \(80^{\circ} \mathrm{C}\) respectively. If each rod is of same length, then the temperature at the junction \(B\) of the three rods isTS EAMCET 2010 Easy - A particle moves along a straight line such that its displacement ' \(x\) ' varies with time ' \(t\) ' as \(x=\alpha t^3+\beta t^2+\gamma\), where \(\alpha, \beta, \gamma\) are constants. \(V_1\) is the average velocity of the particle during its journey between \(t=1 \mathrm{~s}\) and \(t=3 \mathrm{~s} . \mathrm{V}_2\) is the instantaneous velocity of the particle at \(t=3 \mathrm{~s}\). The ratio \(\frac{\mathrm{V}_1}{\mathrm{~V}_2}\) isTS EAMCET 2022 Easy
- A thin plano-convex lens of focal length 73.5 cm has a circular aperture of diameter 8.4 cm . If the refractive index of the material of the lens is \(\frac{5}{3}\), then the thickness of the lens is nearlyTS EAMCET 2024 Hard
More PYQs from TS EAMCET
- For a particle moving along a straight line path, the displacements in third and fifth seconds of its motion are 10 m and 18 m respectively. The speed of the particle at time \(\mathrm{t}=4 \mathrm{~s}\) isTS EAMCET 2025 Medium
- A piece of copper and a piece of germanium are cooled from room temperature to \(80 \mathrm{~K}\). Then, which one of the following is correct?TS EAMCET 2017 Easy
- For an Wave, the electric and magnetic fields are and respectively. The maximum rate of energy flow is,TS EAMCET 2021 Medium
- A short bar magnet having magnetic moment \(4 \mathrm{Am}^2\), placed in a vibrating magnetometer, vibrates with a time period of \(8 \mathrm{~s}\). Another short bar magnet having a magnetic moment \(8 \mathrm{Am}^2\) vibrates with a time period of \(6 \mathrm{~s}\). If the moment of inertia of the second magnet is \(9 \times 10^{-2} \mathrm{~kg}-\mathrm{m}^2\), the moment of inertia of the first magnet is (assume that both magnets are kept in the same uniform magnetic induction field.)TS EAMCET 2013 Medium
- Consider a spherical drop of mercury of radius with capacitance If two such droplets combine to form a larger one, what would be its capacitance in terms of ?TS EAMCET 2021 Medium
- Three lenses of focal lengths and are placed at a distance of and respectively from an object. The distance between the object and the image formed isTS EAMCET 2019 Easy